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Finding the Third Proportional to 8,092,021.25 and 17,338,265.38

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Solution

The third proportional to 8,092,021.25 and 17,338,265.38 is: 37,149,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092,021.25 : 17,338,265.38 = 17,338,265.38 : x
  2. Step 2: Convert to fraction form
    8,092,021.25/17,338,265.38 = 17,338,265.38/x
  3. Step 3: Cross multiply
    8,092,021.25x = 17,338,265.38 × 17,338,265.38
  4. Step 4: Simplify right side
    8,092,021.25x = 300,615,446,213,923.88
  5. Step 5: Solve for x
    x = 300,615,446,213,923.88/8,092,021.25
  6. Step 6: Final answer
    x = 37,149,611.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.